Discovering the most appropriate reconfiguration instants for improving performance and lowering power consumption is not a trivial problem. In this paper we show the benefit in terms of performance gain and power reduction of the dynamic adaptation (e.g., cache size, clock frequency, and core issue-width) of an embedded platform, through a design space exploration campaign, and focusing on a relevant case study. To this end, we analyze a set of benchmarks belonging to the embedded application domain with the aim of illustrating how the appropriate selection of reconfiguration instants can positively influence system performance and power consumption. Experimental results using the cjpeg benchmark show that power consumption can be reduced by an average of 22%. Our methodology can be used to create a set of run-time management policies for driving the adaptation process.